1 citations · 2 across the 8 of their papers we have counts for
17 papers
New -supercongruences arising from a summation of basic hypergeometric series
Chuanan Wei, Chun Li
With the help of a summation of basic hypergeometric series, the creative microscoping method recently introduced by Guo and Zudilin, and the Chinese remainder theorem for coprime…
-Supercongruences from the -Saalschütz identity
Chuanan Wei, Yudong Liu, Xiaoxia Wang
In terms of the -Saalschütz identity and the Chinese remainder theorem for coprime polynomials, we establish some -supercongruences modulo the third power of a cyclotomic pol…
-Supercongruences with parameters
Chuanan Wei
In terms of the creative microscoping method recently introduced by Guo and Zudilin [Adv. Math. 346 (2019), 329--358], we find a -supercongruence with four parameters modulo $Φ_…
A further -analogue of Van Hamme's (H.2) supercongruence for
Chuanan Wei
Several years ago, Long and Ramakrishna [Adv. Math. 290 (2016), 773--808] extended Van Hamme's (H.2) supercongruence to the modulus case. Recently, Guo [Int. J. Number Theory…
Several transformation formulas involving bilateral basic hypergeometric series
Chuanan Wei, Tong Yu
In terms of the analytic continuation method, we prove three transformation formulas involving bilateral basic hypergeometric series. One of them is equivalent to Jouhet's result i…
Transformation and summation formulas for basic hypergeometric series associated with the circumference ratio
Chuanan Wei
In terms of the difference operators, we establish several curious transformation and summation formulas for basic hypergeometric series. When the parameters are specified, they pr…